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Finding the Fourth Proportional to 124,468.48, 186,704 and 30,974.23

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Solution

The fourth proportional to 124,468.48, 186,704 and 30,974.23 is: 46,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,468.48 : 186,704 = 30,974.23 : x
  2. Step 2: Convert to fraction form
    124,468.48/186,704 = 30,974.23/x
  3. Step 3: Cross multiply
    124,468.48x = 186,704 × 30,974.23
  4. Step 4: Simplify right side
    124,468.48x = 5,783,012,637.92
  5. Step 5: Solve for x
    x = 5,783,012,637.92/124,468.48
  6. Step 6: Final answer
    x = 46,461.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.